Photonic bandgap material (photonic crystals, PhC's) offers the possibility to manipulate light on lengthscales of the order of its wavelength. This opens immense prospects for the miniaturization of optical components and other technological applications. The properties of PhC's are generally critically dependent on the wavelength of the propagating light. Thus, for the design of many of their applications it is crucial to use simulation tools with high accuracy, speed, and reliability. The focus of the project is the simulation of the propagation of the electromagnetic field in a real life photonic crystal embedded into an unbounded environment. A typical example is the coupling between a PhC-waveguide and a classical waveguide such as a glass fibre.

For more information see the HiPhoCs site.

• L.  Zschiedrich, R.  Klose, A.  Schädle, F.  Schmidt
  A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D
  J. Comput. Appl. Math.,  Vol. 188,   12-32 (2006)
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• S.  Burger, R.  Klose, A.  Schädle, F.  Schmidt, L.  Zschiedrich
  Adaptive FEM solver for the computation of electromagnetic eigenmodes in 3D photonic crystal structures
  In: Scientific Computing in Electrical Engineering,  A. M. Anile and G. Ali and G. Mascali  (ed) Springer Verlag,   169-175 (2006)
• F.  Schmidt, S.  Burger, A.  Schädle, R.  Klose
  Finite element methods for optical device design
  In: Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices,   57-58 (2005)
• T. Kalkbrenner, U.  Hakanson, A.  Schädle, S.  Burger, C.  Henkel, V.  Sandoghdar
  Optical microscopy using the spectral modifications of a nano-antenna
  Phys. Rev. Lett.,  Vol. 95,   200801 (2005)
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• S. Burger, R.  Klose, A.  Schädle, F.  Schmidt, L.  Zschiedrich
  FEM modelling of 3D photonic crystals and photonic crystal waveguides
  In: Integrated Optics: Devices, Materials, and Technologies IX,  Y. Sidorin and C. A. Wächter  (ed) Proc. SPIE,  Vol. 5728,   164-173 (2005)
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• F. Schmidt
  Pole Condition: A new Approach to Solve Scattering Problems
  In: Oberwolfach Report,  Vol. 1  (1) ,   615-617Mathematisches Forschungsinstitut Oberwolfach (2004)
• S.  Burger, R.  Klose, R.  März, A.  Schädle, F.  Schmidt, L.  Zschiedrich
  Efficient Finite Element Methods for the Design of Microoptical Components
  In: Proc. Microoptics Conf. 2004,   J8 (2004)
• R. März, S. Burger, A. Forchel, H. Heidrich, O. Hess, D. Michaelis, K. Wandel, R. Wehrspohn
  High-contrast planar photonic crystals
  In: Nanophotonics for Communication,  M. Lipson et al.  (ed) Proc. SPIE,  Vol. 5597,   68-81 (2004)
• R. März, S. Burger, S. Golka, A. Forchel, C. Herrmann, C. Jamois, D. Michaelis, K. Wandel
  Planar High Index-Contrast Photonic Crystals for Telecom Applications
  In: Photonic Crystals - Advances in Design, Fabrication and Characterization,  K. Busch et al.  (ed) Wiley-VCH,   308-329 (2004)
• S. Burger, R. Klose, A. Schädle, L. Zschiedrich
  HelmPole - A finite element solver for scattering problems on unbounded domains: Implementation based on PML
   (03-38) Zuse Institute Berlin  ZIB Report (2003)
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• S.  Burger, F.  Schmidt, L.  Zschiedrich
  A fast and efficient Finite-Element Solver for 2D and 3D Photonic Band-Gap Problems
  In: Dig. LEOS/IEEE 2003 Summer Topicals,   75 (2003)
• F. Schmidt
  Solution of Interior-Exterior Helmholtz-Type Problems Based on the Pole Condition Concept: Theory and Algorithms
  Free University Berlin, Fachbereich Mathematik und Informatik  Habilitation thesis (2002)
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